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Finding the Fourth Proportional to 1,302,610,279.80, 1,828,491,685.80 and 1,302,610,279.80

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Solution

The fourth proportional to 1,302,610,279.80, 1,828,491,685.80 and 1,302,610,279.80 is: 1,828,491,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,610,279.80 : 1,828,491,685.80 = 1,302,610,279.80 : x
  2. Step 2: Convert to fraction form
    1,302,610,279.80/1,828,491,685.80 = 1,302,610,279.80/x
  3. Step 3: Cross multiply
    1,302,610,279.80x = 1,828,491,685.80 × 1,302,610,279.80
  4. Step 4: Simplify right side
    1,302,610,279.80x = 2,381,812,066,451,911,680
  5. Step 5: Solve for x
    x = 2,381,812,066,451,911,680/1,302,610,279.80
  6. Step 6: Final answer
    x = 1,828,491,685.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.